bug#64077: closed (30.0.50; Wrong definition of gamma function in calc.texi [PATCH])

[GNU bug Tracking System]

Your message dated Thu, 15 Jun 2023 10:41:00 +0300
with message-id <83sfattboz.fsf@gnu.org>
and subject line Re: bug#64077: 30.0.50; Wrong definition of gamma function in 
calc.texi [PATCH]
has caused the debbugs.gnu.org bug report #64077,
regarding 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
to be marked as done.

(If you believe you have received this mail in error, please contact
help-debbugs@gnu.org.)


-- 
64077: https://debbugs.gnu.org/cgi/bugreport.cgi?bug=64077
GNU Bug Tracking System
Contact help-debbugs@gnu.org with problems
> --- Begin Message ---
>
>
>
> Subject: 
>
> 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
>
>
>
>
> Date: 
>
> Thu, 15 Jun 2023 12:25:04 +0800
>
>
>
>
> User-agent: 
>
> mu4e 1.8.14; emacs 30.0.50
>
>
>
>
> No Emacs code is affected, but the Gamma Function is defined by a
> convergent integral, not a divergent one.
>
> Patch below:
>
> ---   doc/misc/calc.texi
> @@ -18614,7 +18614,7 @@ Advanced Math Functions
>  factorial function:  @samp{gamma(n+1) = fact(n)}.  For general complex
>  arguments the gamma function can be defined by the following definite
>  integral:
> -@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^t dt}.
> +@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt}.
>  @infoline @expr{gamma(a) = integ(t^(a-1) exp(t), t, 0, inf)}.
>  (The actual implementation uses far more efficient computational methods.)
>
>
>
> -- 
> Your sincerely,
> Vladimir Nikishkin (MiEr, lockywolf)
> (Laptop)
>
>
>
> --- End Message ---
> --- Begin Message ---
>
>
>
> Subject: 
>
> Re: bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
>
>
>
>
> Date: 
>
> Thu, 15 Jun 2023 10:41:00 +0300
>
>
>
>
> > From: Vladimir Nikishkin <lockywolf@gmail.com>
> > Date: Thu, 15 Jun 2023 12:25:04 +0800
> > 
> > No Emacs code is affected, but the Gamma Function is defined by a
> > convergent integral, not a divergent one.
> > 
> > Patch below:
> > 
> > ---   doc/misc/calc.texi
> > @@ -18614,7 +18614,7 @@ Advanced Math Functions
> >  factorial function:  @samp{gamma(n+1) = fact(n)}.  For general complex
> >  arguments the gamma function can be defined by the following definite
> >  integral:
> > -@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^t dt}.
> > +@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt}.
> >  @infoline @expr{gamma(a) = integ(t^(a-1) exp(t), t, 0, inf)}.
> >  (The actual implementation uses far more efficient computational methods.)
>
> Thanks, fixed.  (But the corresponding @infoline needed to be fixed as
> well, right?  So I did that.  And switched to using @sup there, to
> produce a nicer HTML output.)
>
> Closing.
>
>
> --- End Message ---